全國中小學科展

2022年

半正鑲嵌圖形中的捷徑問題

本研究從在方格棋盤中走捷徑的問題出發,推廣至由多個相異正多邊形所組成的半正鑲嵌圖形棋盤,其沿格線走捷徑的方法數與最短路徑。研究中,我們針對所有8種1律半正鑲嵌圖形進行分類探討,包括截半六邊形、截角六邊形、扭稜六邊形、小斜方截半六邊形、大斜方截半六邊形、扭稜正方形、異扭稜正方形、截角正方形圖形。我們將每種棋盤進行「轉正」,使它對應於唯一的矩形棋盤,達到「捷徑同構」,因而原本半正鑲嵌圖中的捷徑問題就等價於方格棋盤的捷徑問題。我們將走捷徑方法數的通解分類,發現有組合數類、以及階差與指數混合兩大類,並分析康威表示法與通解的關係。

An Analysis and Optimization of Double Parallelogram Lifting Mechanism

Double Parallelogram Lifting Mechanism (DPLM) is a compact and stable lifting mechanism with a large extension range widely adopted in robot designs. Rubber bands and springs are often installed on the DPLM to lighten the motors' load and maintain its height, yet the installation positions are often obtained through trial and error. This project aims at finding the optimal rubber band installation positions for DPLM using modeling and optimization techniques. A mathematical model which describes the forces and moments acting on all the linkages of DPLM was derived based on the conditions for the static equilibrium and verified with a 3D simulation software. A genetic algorithm (GA) was implemented to optimize rubber band installation positions, which managed to find solutions with the overall root-mean-square- error (RMSE) of the net moment less than 2 for 2 to 6 rubber bands. A further statistical analysis of 50000 random rubber band samples showed that installing rubber bands in triangles is the best solution with the overall lowest RMSE. A test was conducted with a prototype of the DPLM and the results were consistent with our model and optimization. This project derived and verified a mathematical model for the DPLM, and found the optimal way and positions to install rubber bands. The results of this project provides a theoretical basis for controlling DPLM with rubber bands, allowing it to be further adopted in industrial robots that require repetitive lifting and lowering such as inspection robots and aerial work platforms.

缺氧誘導肺腺癌分泌含有CD151之Exosome於肝臟營造腫瘤轉移前微環境相關作用

缺氧(Hypoxia)在癌症中,影響腫瘤微環境(Tumor microenvironment,TME)的重塑扮演重要的角色。原位癌細胞與欲轉移之遠端器官的微環境間,會透過細胞外囊泡(extracellular vesicles,EVs)進行細胞間相互作用,對於轉移前腫瘤微環境(Pre-metastatic niche,PMN)的形成和轉移過程至關重要。 本研究目的在闡明缺氧條件下,肺腺癌如何透過產生的外囊泡重塑肝臟轉移前微環境。結果顯示缺氧刺激肺癌產生的細胞外泌體(Exosome)增加了肝臟星狀細胞(hepatic stellate cell,HSC)活化和血管生成。由於缺氧肺癌所分泌的EVs含有CD151蛋白,促進HSC的活化和血管新生。缺氧肺癌所產生的Exosome增 加了HSC和內皮細胞中FAK(focal adhesion kinase)、Src(SRC proto-oncogene, non-receptor tyrosine kinase)和AKT(AKT serine/threonine kinase)通路的激活。 總結此實驗證實了缺氧腫瘤衍生的Exosomes,探討其中富含的CD151機制,活化了HSC與特別的訊息傳遞於細胞中,調節肝臟PMN的形成。因此CD151可作為肺腺癌轉移至肝臟的新治療靶點。

Prismalla: Mist water collector

The lack of drinking water in human settlements triggers a series of problems that are linked and affect the development of humanity: health problems, lack of water security for companies, lack of jobs, insecurity, among others. We observe this problem in the communities of the municipality of Las Vigas de Ramírez, Veracruz, where there is a great problem with the water supply, although there is a high presence of mist. Faced with this situation, we undertook the task of investigating a water harvesting method that is easy to implement, operate and maintain. We investigated and analyzed the methods of mist condensation through physical barriers, finding that the polyethylene shadow mesh was the means to achieve this, because it allows the passage of the wind, it is very light, easy to manipulate and above all that it presents the phenomenon of percolation that allows water droplets of various diameters to be accommodated therein. We designed a device that allows to present a mist catchment area through a prismatic structure enabled with meshes and condensed water receivers, portable, easy to use and maintenance and very economical with a performance of 20 liters per day. To achieve our project, factors such as air humidity, dew point, wind speed and direction, height, temperatures and available spaces must be considered.

平流層極地渦旋及北極震盪與區域極端寒冷事件之關係

本研究使用NOAA NECP Reanalysis Data 2000年~2020年冬季之緯向風、重力位高度場及其距平變化,探討北極震盪指數(AOI)、極地渦旋對北半球區域極端寒冷事件之關係。AOI與對流層300hPa北緯50~65度緯向平均之緯向風速變動關係較顯著,而與平流層(50hPa)極地渦旋的緯向風速變動僅呈現中度正相關。在太平洋區中,極端寒冷事件發生在AO負相位的比例最高,不過,極端寒冷事件不必然僅發生在AO負相位的大氣條件下,而是與極區的重力位高度場變動有關,且可能發生延遲影響。當極區平流層(50hPa~100hPa)或極區對流層(300hPa~500hPa)的週平均重力位高度距平值明顯上升,代表極地渦旋發生變化,大多有伴隨有極端寒冷事件的出現,即使處於AO正相位的情況亦然,本文對於區域極端寒冷天氣事件之重力位高度場特徵做歸納與說明。

摘要演算法和語句分析之關聯性

在這個資訊發達的時代,網路充滿著五花八門的資訊,導致我們在查詢資料時會因為這些雜亂且未經過濾的資料浪費許多時間,其中最為氾濫的便是點擊誘餌(clickbait),此種新聞常常有著吸引人的標題,而內容卻不會與主題相符,人們也常常在讀完整篇文章後才意識到自己浪費了許多時間在無意義的資訊上面。解決此問題很常用的方法之一便是運用摘要演算法來讓讀者先對新聞有一個大概的理解,不過,雖然摘要演算法越來越普及,但產生出來的摘要仍會和人為判斷的結果有所差距,進而造成閱讀理解上的錯誤以及偏差,所以我們想要藉由這次研究,從一個嶄新的角度切入,探討摘要演算法和句型分析之間的關係,融合原本向量建構的方式以及語句結構的分析來測試摘要的準確度,並且由結果研發出一個可以產生出更為精確的主旨之摘要演算法,除此之外,我們也會融合實地調查以及搜集意見的方式來更進一步探討人們思模式與產生出的摘要之關聯性。

Development of an Audio Modulated Tesla Coil

Originally, the Tesla transformer was developed to transmit energy and messages wirelessly. But it did not prove itself for either of these applications, so today it is only used for research purposes. Over time, the Tesla transformer has evolved and improved. Today it is possible with Tesla transformers to generate powerful and highly precise controlled discharges. During operation, impressive high-voltage discharges occur at the transformer. A tesla transformer is basically a high voltage generator that achieves a voltage boost by using two magnetically coupled LC series resonant circuits of the same resonant frequency. The Dual Resonant Solid State Tesla Coil (DRSSTC) built in this work has a high power IGBT half bridge module to excite the primary resonant circuit at the resonant frequency. The IGBTs are driven in such a way that audible pressure waves, and therefore music, are generated by the electrical discharges at the high voltage electrode. Within the scope of this work were the following two questions: - How is a DRSSTC designed and built? The DRSSTC system realized in this work is about 80 cm high and reaches about one-meter-long discharges. The design, development, and construction of the transformer are documented in detail and extensively in this thesis. - How does one measure an electrical voltage of 200,000 V, which changes sign more than 100,000 times per second? Two approaches have been taken to measure the voltages. Derived from the energy balance of an ideal capacitor and an ideal coil, a secondary voltage of about 200 kV was calculated via secondary current measurement. The second approach uses a voltage measurement via an in-house developed measuring electrode and a calculated divider ratio between the measured voltage and the secondary voltage. A relatively unrealistic secondary voltage of about 750 kV was measured since the divider ratio depends on approximate values. Nevertheless, the measuring electrode can be used for investigations of the voltage curve, or the divider ratio can be calibrated via the secondary current measurement. The development of such a transformer laid the foundation for much further research and scientific analysis.

以深度學習與遷移學習防範社群媒體片面新聞訊息之研究

現代民眾獲取新聞的途徑逐漸轉移到網路媒體,然而在網路資訊快速傳播以及媒體為追求報導曝光度以增加金錢利益的情形下,片面、誘導等形式的新聞標題與短句訊息在新聞媒體傳播中日益嚴重;本次研究透過Fake News Challenge提供的Stance Detection dataset,運用深度學習與遷移學習方法訓練可預測兩文本之間相關程度的自然語言處理模型,在過程中改善調參及訓練方式,並將其實際運用在預測美國新聞媒體於Facebook網路社群平台發文推播新聞的同時所附的短句與新聞報導文本內容之間的相關關係程度,分析社群平台中新聞可能造成的誤導式文句是否實際造成片面報導,而影響了受眾對於媒體的使用程度與信任程度。使此模型有助即時預警社群平台上的報導資訊型態品質,輔助使用者獲取新聞時所應具備的媒體識讀能力,進而改善片面報導於網路的流竄,同時提升未來媒體生態。

Development of an Android Application for Triage Prediction in Hospital Emergency Departments

Triage is the process by which nurses manage hospital emergency departments by assigning patients varying degrees of urgency. While triage algorithms such as the Emergency Severity Index (ESI) have been standardized worldwide, many of them are highly inconsistent, which could endanger the lives of thousands of patients. One way to improve on nurses’ accuracy is to use machine learning models (ML), which can learn from past data to make predictions. We tested six ML models: random forest, XGBoost, logistic regression, support vector machines, k-nearest neighbors, and multilayer perceptron. These models were tasked with predicting whether a patient would be admitted to the intensive care unit (ICU), another unit in the hospital, or be discharged. After training on data from more than 30,000 patients and testing using 10-fold cross-validation, we found that all six models outperformed ESI. Of the six, the random forest model achieved the highest average accuracy in predicting both ICU admission (81% vs. 69% using ESI; p<0.001) and hospitalization (75% vs. 57%; p<0.001). These models were then added to an Android application, which would accept patient data, predict their triage, and then add them to a priority-ordered waiting list. This approach may offer significant advantages over conventional triage: mainly, it has a higher accuracy than nurses and returns predictions instantaneously. It could also stand-in for triage nurses entirely in disasters, where medical personnel must deal with a large influx of patients in a short amount of time.

Expectations for extension of cell life and next generation anticancer drugs by using secondary metabolites of actinomycetes

Inhibitory effects of the secondary metabolite of actinomycete were examined on cell cycle of the yeasts of S. pombe and S. cerevisiae. The secondary metabolite was obtained from cultivation of the actinomycete isolated from the soil of Owakudani in Hakone, Japan. The fifth fraction of the secondary metabolite by ODS column separation (HK-T5), which was soluble to pure methanol, was used in the present experiments. The HK-T5 brought about the delay of forming colonies of S. pombe for about 11 days compared to that cultivated without the HK-T5. The delay of the colony formation was longer for the S. pombe cultivated with more amount of the HK-T5. The cultivation with HK-T5 also brought about the extension of the lifespan of the S. pombe for more than 10 weeks in a liquidus medium. The cell life recovered the ordinary manner by removal of the HK-T5, meaning that the activities of the HK-T5 is reversible. These facts confirm the suppression of cell cycle, and the delay of cell growth by the HK-T5. These phenomena were similarly observed for S. cerevisiae. Comparison of the action of HK-T5 with hydroxyurea, which is an anticancer drug inhibiting the cell cycle at S phase, clarified that the inhibitory action of HK-T5 worked at the phase earlier than S phase. The combined effects of HK-T5 on the cell cycle were evaluated with triamcinolone acetonide (TA), or aspirin, the former of which is a drug synchronizing cancer cells in S phase, and the latter keeping human cells in G1/G0 phases. The combined use of HK-T5 with TA synchronized the cells at the phase slightly proceeding from G1 to S phase without toxicity. On the other hand, the combined use with aspirin made the inhibitory effect of HK-T5 inactive. Hence, the HK-T5 is attractive as a drug for the extension of cell lifespan, and anticancer therapy.